Answer:
we are on the same frame of reference moving with the earth with the same velocity.
Explanation:
Given that the earth is continuously moving at a speed of about 30 kilometers per second in the space. This means this is the observed speed from and external frame of reference in space being at rest.But when we jump from vertically on the earth we are already on the same moving frame of reference and bounded to it by the gravity and hence when we jump off its surface we jump with its velocity of motion and so does every other object present on the earth and hence we do not collide with the wall when taking a vertical jump beside it. To us the wall seems to be at rest because we both are on the same frame of the reference.This problem has been solved!
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A total of 27.10 KJ of heat is added to a 5.30-L sample of helium at 0.981 atm. The gas is allowed to expand against a fixed external pressure to a volume of 23.70 L.
A) calculate the work done on or by the helium gas units of joules, J.
B) what is the change in the helium a internal energy in units kilojoules, KJ?
The work done by a gas when it expands against a constant external pressure can be calculated using the formula W = -P∆V. For a helium gas expanding from 5.30 L to 23.70 L against an external pressure of 0.981 atm, the work done is -1.8299164 kJ. The change in internal energy is the heat added plus the work done on the system, resulting in a change of 28.93 kJ.
Explanation:To calculate the work done by the helium gas during its expansion against a fixed external pressure, we can use the formula for work, which is:
W = -P∆V
where:
- W is the work done on or by the gas (in joules, J)
- P is the external pressure (in pascals, Pa)
- ∆V is the change in volume (in cubic meters, m3)
Firstly, we need to convert the pressure from atm to Pa and volume from L to m3:
1 atm = 101325 Pa
1 L = 0.001 m3
Thus:
P = 0.981 atm × 101325 Pa/atm = 99456.325 Pa
∆V = (23.70 L - 5.30 L) × 0.001 m3/L = 0.0184 m3
Work done, W = -P∆V = -99456.325 Pa × 0.0184 m3 = -1829.9164 J
The work done by the gas is negative, indicating that it was done on the surroundings. Converting Joules to kilojoules (1 J = 0.001 kJ), we have:
W = -1.8299164 kJ
To determine the change in internal energy, we use the first law of thermodynamics, which states:
∆U = Q - W
where:
- ∆U is the change in internal energy
- Q is the heat added to the system
Since we added 27.10 kJ of heat (Q), and work done (W) on the surroundings is -1.8299164 kJ, we can calculate the change in internal energy (∆U) as:
∆U = 27.10 kJ - (-1.8299164 kJ) = 28.9299164 kJ
The change in the helium's internal energy is 28.93 kJ.
A race car completes a lap on a 1600 m long track with an average speed of 250 km/h. If the car's average speed on the first half of the track was 215 km/h, what was its average speed (in km/h) on the second half?
Explanation:
Length of track = 1600 m
Average speed = 250 km/h = 69.44 m/s
We have
Distance = Speed x Time
1600 = 69.44 x time
Time = 23.04 seconds
Total time = 23.04 seconds
Half of the track = 0.5 x 1600 = 800 m
Speed on first half = 215 km/hr = 59.72 m/s
We have
Distance = Speed x Time
800 = 59.72 x time
Time = 13.40 seconds
Time taken to complete remaining half = 23.04 - 13.40 = 9.64 seconds
Distance = 800 m
We have
Distance = Speed x Time
800 = Speed x 9.64
Speed = 82.99 m/s = 298.76 km/hr
Its average speed (in km/h) on the second half is 298.76 km/hr
Emily is a competitive swimmer. Why does wearing a swim cap help Emily swim faster?
A. The cap reduces her inertia.
B. The cap keeps the hair out of her eyes.
C. The cap increases the friction between her and the water.
D. The cap decreases the friction between her and the water.
pls help thanku
Answer:
It's helps Emily became when she swims her hair is not in the way creating friction and making her swim faster. friction acts between two metals blocks that slide past each other.
Explanation:
Answer:
I had this same question on a Science test and I chose D) and got it right.
Explanation:
An electric field of 280000 N/C points due west at a certain spot. What is the magnitude of the force that acts on a charge of -7.9C at this spot?
Explanation:
Electric field is the ratio of force and charge.
Electric field, E = 280000 N/C
Charge, q = -7.9 C
We have
[tex]E=\frac{F}{q}\\\\280000=\frac{F}{7.9}\\\\F=280000\times 7.9\\\\F=2.21\times 10^6N[/tex]
The magnitude of the force that acts on a charge of -7.9C at this spot is 2.21 x 10⁶ N.
Final answer:
The magnitude of the force that acts on a -7.9 C charge in a 280000 N/C electric field is 2212000 N, acting in the opposite direction of the electric field.
Explanation:
The question asks about the magnitude of the force that acts on a charge in the presence of an electric field. This can be solved by using the equation F = qE, where F is the force in Newtons, q is the charge in Coulombs, and E is the electric field strength in Newtons per Coulomb (N/C).
Given that the electric field (E) is 280000 N/C and points due west, and the charge (q) is -7.9 C, we can calculate the force as follows:
F = qE = (-7.9 C) × (280000 N/C) = -2212000 N.
This result indicates the magnitude of the force is 2212000 N, and by convention, the negative sign indicates that the force direction is opposite to the direction of the electric field; since the electric field points west, the force on the negative charge points east.
The rms (root-mean-square) speed of a diatomic hydrogen molecule at 50∘C is 2000 m/s. Note that 1.0 mol of diatomic hydrogen at 50∘C has a total translational kinetic energy of 4000 J.A) Diatomic oxygen has a molar mass 16 times that of diatomic hydrogen. The root-mean-square speed vrms for diatomic oxygen at 50∘C is:________a) (16)(2000m/s)=32000m/sb) (4)(2000m/s)=8000m/sc) 2000m/sd) (14)(2000m/s)=500m/se) (116)(2000m/s)=125m/sf) none of the aboveB) The total translational kinetic energy of 1.0 mole of diatomic oxygen at 50∘C is:________a) (16)(4000J)=64000Jb) (4)(4000J)=16000Jc) 4000Jd) (14)(4000J)=1000Je) (116)(4000J)=150Jf) none of the aboveC) The temperature of the diatomic hydrogen gas sample is increased to 100∘C. The root-mean-square speed vrms for diatomic hydrogen at 100∘C is:______a) (2)(2000m/s)=4000m/sb) (2√)(2000m/s)=2800m/sc) 2000m/sd) (12√)(2000m/s)=1400m/se) (12)(2000m/s)=1000m/sf) none of the above
Answer:
A) d. (1/4)(2000m/s) = 500 m/s
B) c. 4000 J
C) f. None of the above (2149.24 m/s)
Explanation:
A)
The translational kinetic energy of a gas molecule is given as:
K.E = (3/2)KT
where,
K = Boltzman's Constant = 1.38 x 1^-23 J/K
T = Absolute Temperature
but,
K.E = (1/2) mv²
where,
v = root mean square velocity
m = mass of one mole of a gas
Comparing both equations:
(3/2)KT = (1/2) mv²
v = √(3KT)/m _____ eqn (1)
FOR HYDROGEN:
v = √(3KT)/m = 2000 m/s _____ eqn (2)
FOR OXYGEN:
velocity of oxygen = √(3KT)/(mass of oxygen)
Here,
mass of 1 mole of oxygen = 16 m
velocity of oxygen = √(3KT)/(16 m)
velocity of oxygen = (1/4) √(3KT)/m
using eqn (2)
velocity of oxygen = (1/4)(2000 m/s) = 500 m/s
B)
K.E = (3/2)KT
Since, the temperature is constant for both gases and K is also a constant. Therefore, the K.E of both the gases will remain same.
K.E of Oxygen = K.E of Hydrogen
K.E of Oxygen = 4000 J
C)
using eqn (2)
At, T = 50°C = 323 k
v = √(3KT)/m = 2000 m/s
m = 3(1.38^-23 J/k)(323 k)/(2000 m/s)²
m = 3.343 x 10^-27 kg
So, now for this value of m and T = 100°C = 373 k
v = √(3)(1.38^-23 J/k)(373 k)/(3.343 x 10^-27 kg)
v = 2149.24 m/s
The rms speed will be "500 m/s". A further solution is provided below.
Given:
Speed of a diatomic hydrogen molecule,
2000 m/sMol of diatomic hydrogen,
1.0Temperature,
50°CNow,
The rms speed of diatomic molecule will be:
→ [tex]V_{rms} = \sqrt{\frac{5kT}{m} }[/tex]
or,
→ [tex](V_{rms})O_2 = \sqrt{\frac{5kT}{16(m)} }[/tex]
[tex]= \frac{1}{4} (V_{rms})H_2[/tex]
[tex]= \frac{1}{2} (2000)[/tex]
[tex]= 500 \ m/s[/tex]
Thus the above response is right.
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A rock is thrown off of a 100 foot cliff with an upward velocity of 45 m/s. As a result its height after t seconds is given by the formula?
Q: A rock is thrown off of a 100 foot cliff with an upward velocity of 45 m/s. As a result its height after t seconds is given by the formula:
h(t)=100+45t−4.9t2
(a) What is its height after 3 seconds?
(b)What is its velocity after 3 seconds?
Answer:
(a) 190.9 m.
(b) 15.6 m/s upward
Explanation:
Given:
h(t) = 100 + 45t - 4.9t²
The height after 3 seconds,
t = 3 s
Substitute the value of t in to the equation above.
h(3) = 100+45(3)-4.9(3)²
h(3) = 100+135-44.1
h(3) = 190.9 m
Therefore the height after 3 seconds = 190.9 m.
(b) Velocity after 3 seconds
The velocity is obtained by differentiating h(t) with respect to time
v = dh(t)/dt
dh(t)/dt = 45-9.8t
v = 45 - 9.8t ......................................... Equation 1
t = 3 s.
Substitute the value of t into the equation above,
v = 45 - 9.8(3)
v = 45- 29.4
v = 15.6 m/s
Thus the velocity after 3 seconds = 15.6 m/s upward
Final answer:
After 3 seconds, the rock is 190.9 meters high and moving upwards with a velocity of 15.6 m/s. The computations are based on the given formula for height over time.
Explanation:
The question involves determining the height and velocity of a rock thrown off a 100-foot cliff with an upward velocity of 45 m/s after a certain time interval. Given the formula h(t) = 100 + 45t - 4.9t2, where h represents the height in meters and t represents the time in seconds, we can calculate the specific outcomes for the rock at different points in time.
(a) Height after 3 seconds
To find the height after 3 seconds, we substitute t = 3 into the equation: h(3) = 100 + 45(3) - 4.9(3)2 = 100 + 135 - 44.1 = 190.9 meters above the ground.
(b) Velocity after 3 seconds
The velocity of the rock can be found by taking the derivative of the height function, which gives v(t) = 45 - 9.8t. Substituting t = 3: v(3) = 45 - 9.8(3) = 45 - 29.4 = 15.6 m/s, directed upwards.
A piston/cylinder contains 2 kg of water at 20◦C with a volume of 0.1 m3. By mistake someone locks the piston, preventing it from moving while we heat the water to saturated vapor. Find the final temperature and volume and the process work?
Answer:
Hi
Final temperature = 250.11 °C
Final volume = 0,1 m3.
Process work = 0
Explanation:
The specific volume in the initial state is: v = 0.1m3/2 kg = 0.05 m3/kg.
This volume is located between the volumes as saturated liquid and saturated steam at 20 °C. For this reason the water is initially in a liquid vapor mixture. As the piston was blocked the volume remains constant and the process is isometric, also known as isocoric process, so the final temperature will be the water temperature at a saturated steam of v=0.05m3/kg, which is obtained by using steam tables for water, by linear interpolation. As follows, using table A-4 of the Cengel book 7th Edition:
v=0.05 m3/kg
v1=0.057061 m3/kg
T1=242.56°C
v2=0.049779 m3/kg
T2=250.35°C
T=[tex]\frac{T2-T1}{v2-v1} x(v-v1)+T1=\frac{250.35°C-242.56°C}{0.049779m3/kg-0.057061m3/kg}x(0.05m3/kg-0.057061m3/kg)+242.56°C=250.11°C[/tex]
The process work is zero because there is no change in volume during heating:
W=PxΔv=Px0=0
where
W=process work
P=pressure
Δv=change of volume, is zero because the piston was blocked so the volume remains constant.
Using Charles's Law and considering the properties of water, in a locked piston, the volume remains constant as water vaporizes, despite temperature changes. The temperature is affected by specific heat and latent heat of vaporization. No work is done as the locked piston prevents expansion.
Explanation:In this scenario, we would need to use principles from physics to solve this problem, particularly the laws of thermodynamics and the properties of gases and liquids, specifically water. Despite the piston being locked, as the water heats up and turns into vapor, the volume would increase according to Charles's Law. However, since our piston is locked and cannot move, in this case, the volume does not change and stays constant at 0.1 m³.
Next, the temperature change can be calculated from the specific heat of water and the given mass of water. However, as the water turns into vapor, we also have to account for the latent heat of vaporisation which is energy needed to change the water to vapor without changing its temperature.
As for the process work, it is zero in this case because our system is not doing work on the surroundings because the piston is locked and no expansion occurred which normally forms the basis of work done.
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An uncharged pith ball is suspended by a nylon fiber. When a negatively charged rubber rod is brought nearby, without touching it, the pith ballA. Becomes charged by induction.
B. Becomes polarized.
C. Is repelled by the rod.
D. Is unaffected.
E. None of the above choices are correct.
Answer:
B
Explanation:
An uncharged pith ball is suspended by a nylon fiber. When a negatively charged rubber rod is brought nearby, without touching it, the pith ball A.
Becomes polarized.
We claim the allegation has been divided inside the can. Polarization implies, in general terms, separating between opposites. Polarization is the method of splitting contrary charges inside an object, in the case of electricity. The positive charge is distinguished from the negative charge.
The correct answer is: A. Becomes charged by induction.
When a negatively charged rubber rod is brought near an uncharged pith ball suspended by a nylon fiber, the pith ball becomes charged by induction. The rod induces a dipole moment in the pith ball, causing it to be attracted in the inhomogeneous field surrounding the rod. This procedure illustrates one of the basic ideas of electrostatics: the existence of a charged object can affect the way charges are distributed in a nearby neutral object, causing the object to acquire a charge by induction.
An object with a charge of -3.2 uC and a mass of 1.0×10^(-2) kg experiences an upward electric force, due to a uniform electric field, equal in magnitude to its weight.
If the electric charge on the object is doubled while its mass remains the same, find the direction and magnitude of its acceleration.
upward
downward
to the left
to the right
Answer:
The magnitude of the acceleration is equal to 19.6m/s² and the acceleration is directed upwards though the magnitude of the charge has doubled. This is because the electric force is directed upwards and from newton's second law of motion the charge will have acceleration in the same direction as the electric force on the charge.
Explanation:
The detailed solution can be found in the attachment below.
Thank you for reading and I hope this is helpful to you.
The acceleration direction and magnitude will remain the same when the charge on the object is doubled while its mass remains the same.
Explanation:When the charge on the object is doubled while its mass remains the same, the acceleration direction and magnitude will remain the same. It will still experience an upward acceleration.
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An electric power plant uses energy from burning coal to generate steam at 450∘C. The plant is cooled by 20∘C water from a nearby river. If burning coal provides 100 MJ of heat, what is the theoretical minimum amount of heat that must be transferred to the river during the conversion of heat to electric energy? A. 100 MJ. B. 90 MJ. C. 60 MJ. D. 40 MJ.
Answer:
40 MJ (D)
Explanation:
Quantity of heat (Qh) = 100 MJ
temperature of steam (Th) = 450°c = 450 + 273 = 723 K
emperature of water (TI) = 20 °c = 20 + 273 = 293 k
efficiency = (Qh-Qi)/Qh = (Th-Ti)/Th
[tex]\frac{100x10x^{6}-Qi }{100x10^{6}} = \frac{723-293}{723}[/tex]
[tex]100x10^{6}[/tex] - Qi= 0.5947 x [tex]100 x 10 ^{6}[/tex]
[tex]100x10^{6}[/tex] - (0.5947 x [tex]100x10^{6}[/tex]) = Qi
Qi = 40.5 MJ equivalent to 40 MJ (D)
The theoretical minimum amount of heat that must be transferred to the river during the conversion of heat to electric energy is 0.0836 MJ, which is closest to option D: 40 MJ.
Explanation:The theoretical minimum amount of heat that must be transferred to the river during the conversion of heat to electric energy can be calculated using the formula:
Q = m * c * ΔT
Where Q is the heat transferred, m is the mass of the water, c is the specific heat capacity of water, and ΔT is the change in temperature.
In this case, we know the change in temperature (ΔT) is 20∘C and we need to find the heat transferred (Q). For simplicity, we will use a mass of 1 kg. The specific heat capacity of water is approximately 4.18 J/g°C.
Using the formula, we can calculate:
Q = 1 kg * 4.18 J/g∘C * 20∘C
We need to convert grams to kilograms:
Q = 1 kg * 4.18 J/g∘C * 20∘C * (1 g / 1000 kg)
Q = 0.0836 MJ
This means the theoretical minimum amount of heat that must be transferred to the river during the conversion of heat to electric energy is 0.0836 MJ, which is closest to option D: 40 MJ.
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Technician A says clutch slippage can best be diagnosed with the vehicle stopped, parking brake applied, placing the transmission in 4th gear, and slowly releasing the clutch pedal to see if it stalls the engine. Technician B says an excessively slipping clutch can cause friction surface warpage or hot spots. Who is correct?
Select one:
a. Technician A
b. Technician B
c. Both Technician A and Technician B
d. Neither Technician A nor Technician B
Answer:
c. Both Technician A and Technician B
Explanation:
It is true that the clutch slippage can be diagnosed with vehicle stopped parking brake applied, placing the transmission in 4th gear, and slowly releasing the clutch pedal to see if it stalls the engine. Hence techician A is correct.
Moreover, excessive slipping clutch can cause friction surface warpage ( being bent or twisted out of shape) and hot spot( heat energy from the friction.
Therefore, both technician A and B are correct.
Both Technician A and Technician B are correct. Technician A provides a valid diagnostic technique for clutch slippage, and Technician B accurately describes the consequences of an excessively slipping clutch. Hence option c is the answer.
The question addresses two different technicians' statements about diagnosing clutch problems and the effects of clutch slipping. Technician A suggests a diagnostic method for clutch slippage, while Technician B explains a potential consequence of an excessively slipping clutch.
Technician A is correct because testing the clutch by placing the vehicle in a higher gear and releasing the clutch pedal with the parking brake engaged can indeed help diagnose if there is clutch slippage. If the engine does not stall, it indicates that the clutch is not engaging fully and is slipping. Technician B is also correct because an excessively slipping clutch can lead to damage such as friction surface warpage or the development of hot spots on the clutch components due to excessive heat generated by the friction.
The appropriate answer to the student's question is:
c. Both Technician A and Technician B
a block of mass m is pushed up against a spring with spring constant k until the spring has been compressed a distance x from equilibrium. what is the work done on the block by the spring.
A. W=kx^2
B.W=-kx^2
C.W=0
D. None of these
Answer:d
Explanation:
Spring is compressed to a distance of x from its equilibrium position
Work done by block on the spring is equal to change in elastic potential energy
i.e. Work done by block [tex]W=\frac{1}{2}kx^2[/tex]
therefore spring will also done an equal opposite amount of work on the block in the absence of external force
Thus work done by spring on the block [tex]W=-\frac{1}{2}kx^2[/tex]
Thus option d is correct
The work done on a block by a spring it compresses is given by the formula for elastic potential energy, ½ kx^2, with a negative sign because the work is done against the movement of the block. Therefore, the correct answer is B.W=-kx^2.
Explanation:In this case, the work done on the block by the spring is given by the formula for elastic potential energy, which is ½ kx2. However, this work is done on the block, meaning it loses this amount of energy, so the sign is negative. Therefore, the correct answer is B.W=-kx^2.
This negative sign indicates that the work is done against the movement. As the block is pushed onto the spring, the spring does negative work on the block by pushing back. Think of it as the block 'losing' energy to the spring while it compresses it, which is why the work done by the spring on the block is negative.
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An automobile having a mass of 2000 kg deflects its suspension springs 0.02 m under static conditions. Determine the nafural frequency of the automobile in the vertical direction by assuming damping to be negligible.
Answer:Frequency = 3.525 Hertz
Explanation:In static equilibrium, kd =mg
Where k= effective spring constant of the spring.
mg= The weight of the car.
d= static deflection.
Therefore, w =SQRTg/d
w = SQRT 9.81/0.02
w= 22.15 rad/sec
Converting to Hertz unit for frequency
1 rad/s = 0.1591
22.15rad/s=?
22.15 × 0.1591= 3.525 hertz
The natural frequency of the automobile in the vertical direction is 3.52 Hertz
Static equilibriumStatic equilibrium refers to the physical state in which the components of a system are at rest and the net force acting through the system is equal to zero.
In static equilibrium:
kd = mg
where;
k = effective spring constant of the spring.
mg = the weight of the car
d = static deflection.
also K = mω²
where ω is angular velocity
m is mass
Thus, mω²d = mg
ω²d = g
ω = √g/d
ω = g/d
ω = √9.8/0.02
ω = 22.15 rad/sec
Converting to Hertz unit for frequency1 rad/s = 0.1591 Hertz
22.14 rad/s = 22.14 * 0.1591
22.14 rad/s = 3.525 hertz
Therefore, the natural frequency of the automobile in the vertical direction is 3.52 Hertz
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In boxing, the use of 16-ounce gloves rather than 12-ounce gloves reduces the chance of injury because the force is distributed over a greater area.A. TrueB. False
Answer:
true
Explanation:
Here we have assumed that increasing the mass of a glove will increase the surface area.
Injury is caused by the application of pressure at a point on the body. The application of pressure takes place via the area of the gloves. Pressure is given by
[tex]P=\dfrac{F}{A}[/tex]
where
F = Force
A = Area to which the force is applied
So, a bigger glove will increase the surface area and reduce the pressure resulting in a lower chance of injury.
Hence, the statement is true.
A 880 N crate rests on the floor. (a) How much work is required to move it at constant speed 4.8 m along the floor against a friction force of 180 N?
Answer:
We have to do 864 J for moving the crate
Explanation:
We have given a 880 N crate is at rest on the floor
Frictional force f = 180 N
We have to move the crate by 4.8 m
For moving the crate we have to overcome the frictional force acting the crate
We know that work done is given by [tex]Work\ done=force\times distance[/tex]
Here force will be equal to frictional force and distance is 4.8 m
So work done [tex]W=180\times 4.8=864J[/tex]
So we have to do 864 J for moving the crate
The different molecules that make up the air in a room have, on average the same kinetic energy. How does the speed of the different molecules that make up the air depend on their masses?
Answer:
speed of molecule ∝ 1/mass of molecule.
Explanation:
The velocities of the molecules depend on their masses. That's because if the molecules are large in size, their velocity is slower. Therefore their velocity is quicker when their size is small, since the molecules can move faster.
Therefore , it can be written as
speed of molecule ∝ 1/mass of molecule.
A cyclist rides at a constant speed of 4.5 m/s around a curve. If the centripetal acceleration is 29 m/s2, what is the radius of the curve?
Answer:
(B) 0.70 m
Explanation:
Currently taking the test
A cyclist rides at a constant speed of 4.5 m/s around a curve. If the centripetal acceleration is 29 m/s2, the radius of the curve is found as 0.70m.
To find the radius of the curve, the given values are,
Speed = 4.5 m/s,
centripetal acceleration = 29m/s².
What is centripetal acceleration?Centripetal acceleration is nothing but it always means towards the centre. Any object undergoing or processing in a circular motion which is uniform (uniform circular motion) has a centripetal acceleration and that acceleration is directed radially inwards.
The acceleration which has a magnitude that is equal to the square of the speed of the object along the curve, divided by the distance from the center of the circle to the object in motion.
Mathematically it can be expressed as;
a = [tex]\frac{v^{2} }{r}[/tex]
where
v is the speed (tangential speed)
r is the radius of the curve
In this case, we know the speed, v=4.5 m/s, and the centripetal acceleration, a=29 m/s^2, so we can re-arrange the equation above to find the radius of the curve:
r =[tex]\frac{v^{2} }{a}[/tex]
= [tex]\frac{4.5^{2} }{29}[/tex]
r= 0.70 m.
The radius of the curve r = 0.70m.
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If a photon has frequency = 2.00 x 1014s-1 and the speed of light = 3.00 x 108ms-1, then what is its wavelength?
Answer:
The photon has a wavelength of [tex]1.5x10^{-6}m[/tex]
Explanation:
The speed of a wave can be defined as:
[tex]v = \nu \cdot \lambda[/tex] (1)
Where v is the speed, [tex]\nu[/tex] is the frequency and [tex]\lambda[/tex] is the wavelength.
Equation 1 can be expressed in the following way for the case of an electromagnetic wave:
[tex]c = \nu \cdot \lambda[/tex] (2)
Where c is the speed of light.
Therefore, [tex]\lamba[/tex][tex]\lambda[/tex] can be isolated from equation 2 to get the wavelength of the photon.
[tex]\lambda = \frac{c}{\nu}[/tex] (3)
[tex]\lambda = \frac{3.00x10^{8}m/s}{2.00x10^{14}s^{-1}}[/tex]
[tex]\lambda = 1.5x10^{-6}m[/tex]
Hence, the photon has a wavelength of [tex]1.5x10^{-6}m[/tex]
Summary:
Photons are the particles that constitutes light.
Ocean tides are waves that have a period of 12 hours, an amplitude (in some places) of 1.50 m, and a speed of 750 km/hr. What is the distance between adjacent crests of these waves?
Answer:
distance between adjacent crests = 9000 km
Explanation:
given data
time period = 12 hours
amplitude = 1.50 m
speed = 750 km/hr
solution
we get here distance between adjacent crests that is express as
distance between adjacent crests = speed × time ..............1
put here value and we get
distance between adjacent crests = 750 × 12
distance between adjacent crests = 9000 km
The distance between adjacent crests of an ocean tide's waves, also known as the wavelength, can be calculated using the formula for wave speed and the given values. The frequency of the tide is 0.083 cycles per hour, and by substituting the values into the formula, we obtain a wavelength of approximately 9045 kilometers.
Explanation:The distance between adjacent crests of waves, also known as the wavelength, can be calculated using the formula for wave speed: speed = frequency x wavelength. Since the tide has a period (time for one complete cycle) of 12 hours, this means its frequency is 1 cycle/12 hours. However, since the speed is in km/hr, we need to convert the frequency to cycles per hour. This gives us a frequency of 2 cycles/24 hours = 0.083 cycles per hour.
Now we can substitute the values into the formula: 750 km/hr = 0.083 cycles/hr x wavelength. Solving for wavelength, we get a wavelength of about 9045 kilometers.
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A large raindrop-the type that lands with a definite splat-has a mass of 0.0014 g and hits your roof at a speed of 8.1 m/s. a. What is the magnitude of the impulse delivered to your roof? b. If the raindrop comes to rest in 0.37 ms, what is the magnitude of the force of the impact?
The magnitude of the impulse delivered to the roof is -0.01134 kg·m/s, and the magnitude of the force of the impact is -30.70 N.
Explanation:The magnitude of impulse delivered to your roof can be calculated using the equation impulse = mass x change in velocity. In this case, the mass of the raindrop is given as 0.0014 g, which is equivalent to 0.0014 kg. The change in velocity is the final velocity (0 m/s) minus the initial velocity (8.1 m/s). Therefore, the magnitude of the impulse is 0.0014 kg x (-8.1 m/s) = -0.01134 kg·m/s.
To calculate the magnitude of the force of the impact, we can use the equation force = impulse/time. In this case, the impulse is the magnitude of the impulse calculated previously (-0.01134 kg·m/s) and the time is given as 0.37 ms, which is equivalent to 0.00037 s. Therefore, the magnitude of the force of the impact is -0.01134 kg·m/s / 0.00037 s = -30.70 N.
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In this physics problem, we calculate both the magnitude of the impulse delivered and the force of impact of a raindrop hitting a roof.
The magnitude of the impulse delivered to the roof can be calculated by multiplying the mass of the raindrop by its velocity.
The magnitude of the force of the impact can be determined using the formula for impulse, considering the time it takes for the raindrop to come to rest.
A force of 40 Newtons is applied to a mass resulting in an acceleration of 8 m/s2What force would need to be applied to this mass to cause an acceleration of 25 m/s2?
Answer:
125 N
Explanation:
Force: This can be defined as the product of the mass of a body and its acceleration. S.I unit of force is Newton (N).
Mathematically, Force can be expressed as,
F = ma................... Equation 1
Where F = force, m = mass, a = acceleration of the body.
Making m the subject of the equation,
m = F/a ............... Equation 2.
Given: F = 40 Newtons, 8 m/s²,
Substituting into equation 2
m = 40/8
m = 5 kg,
When the acceleration a = 25 m/s²
Substitute into equation 1
F = 25×5
F = 125 N.
Hence the needed = 125 N.
To cause an acceleration of 25 m/s2 on the given mass, a force of 125 Newtons would be needed.
To find the force needed to cause an acceleration of 25 m/s2 on the same mass, we can use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration. First, we can calculate the mass by dividing the force of 40 Newtons by the acceleration of 8 m/s2: 40 N = mass x 8 m/s2.
Therefore, the mass is 5 kg. Next, we can use the calculated mass and the desired acceleration of 25 m/s2 to find the force: force = mass x acceleration. Substituting the values, we have force = 5 kg x 25 m/s2 = 125 Newtons.
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A 0.50 kg croquet ball is initially at rest on the grass. When theball is struck by a mallet, the average force exerted on it is240 N. If the ball's speed after beingstruck is 3.0 m/s, how long was the malletin contact with the ball?
Answer:
time=6.25×10⁻³ seconds
or
time=6.25 Milliseconds
Explanation:
Given Data
Ball mass= 0.50 kg
Force = 240 N
Speed =3.0 m/s
To find
Time
Solution
From Newtons second Law of motion
Force=mass×acceleration
As mass and Force is given we need to Find acceleration
So
Acceleration=Force/mass
Acceleration=240/0.50
Acceleration=480 m/s²
When ball was at rest its velocity at that time was 0.Now the final velocity is given as:
Velocity=acceleration×time
As we have find the acceleration and velocity is given so we can find time easily
So
time=velocity/acceleration
time=(3.0m/s)/480 N
time=6.25×10⁻³ seconds
or
time=6.25 Milliseconds
Using the impulse-momentum theorem, the time the mallet was in contact with the ball can be found to be 0.00625 seconds.
Explanation:This problem can be solved using the imulse-momentum theorem, which states that the impulse on an object is equal to the change in its momentum. Momentum is calculated as mass times velocity, and impulse is calculated as force times time. In this particular case, we can set the final momentum of the croquet ball, 0.50 kg * 3.0 m/s, equal to the impulse, 240 N * t, the duration of time the mallet was in contact with the ball.
Setting these equal to each other, we get:
240 N * t = 0.50 kg * 3.0 m/s
Solving for t, we get:
t = (0.50 kg * 3.0 m/s) / 240 N
After doing the calculations, we find the duration t to be 0.00625 seconds.
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Because of the Coriolis effect, surface ocean currents are deflected to the ________ of their path of motion in the Northern Hemisphere.
Answer:
Right
Explanation:
Because of the Coriolis effect, surface ocean currents are deflected to the Right of their path of motion in the Northern Hemisphere.
Since the Earth is revolving on its axis, flowing air in the Northern Hemisphere are deflected to the right and in the Southern Hemisphere to the left. The consequence of Coriolis is called this deflection.
After a 0.260-kg rubber ball is dropped from a height of 19.5 m, it bounces off a concrete floor and rebounds to a height of 15.5 m. (a) Determine the magnitude and direction of the impulse delivered to the ball by the floor.
Answer:
a)impulse = 10.7296 kg-m/s (upward)
b) F = 268.24 N (upward)
Explanation:
(a)
velocity of ball before it strikes the floor:
initial gravitational potential energy = final kinetic energy
mgh = (1/2)mv²
v = sqrt(2gh)
v = sqrt[2(9.81 m/s²)(19.5 m)]
v = 19.5599 m/s
velocity of ball after striking the floor:
initial kinetic energy = final gravitational potential energy
(1/2)mv² = mgh
v = sqrt(2gh)
v = sqrt[2(9.81 m/s²)(15.5m)]
v = 17.4387 m/s
impulse = change in momentum
impulse = (0.290 kg)(17.4387 m/s - (-19.5599 m/s))
impulse = 10.7296 kg-m/s (upward)
(b)
impulse = (force exerted)(time)
10.7296 kg-m/s = F(0.04 s)
F = 268.24 N (upward)
A child is sliding on a sled at 1.3 m/s to the right. You stop the sled by pushing on it for 0.80 s in a direction opposite to its motion. Part A If the mass of the child and sled is 34 kg , what is the magnitude of the average force you need to apply to stop the sled?
Answer:
find acceleration first
a = vf - vi / t
a = 0 - 1.5 / 0.5s (vf is zero)
a = -3 (negative sign indicates that acceleration is decreasing)
so F=ma
F = 35 x -3
F = -105 N (here negative sign indicates that u have to apply a force opposite to the boy's direction i.e from the left or towards the right)
Explanation:
A truck with 28-in.-diameter wheels is traveling at 50 mi/h. Find the angular speed of the wheels in rad/min, *hint convert miles to inches & hours to minutes: rad/min How many revolutions per minute do the wheels make? rpm
Answer:
Angular speed ω=3771.4 rad/min
Revolution=5921 rpm
Explanation:
Given data
[tex]d=28in\\r=d/2=28/2=14in\\v=50mi/hr[/tex]
To find
Angular speed ω
Revolution per minute N
Solution
First we need to convert the speed of truck to inches per mile
as
1 mile=63360 inches
1 hour=60 minutes
so
[tex]v=(50*\frac{63360}{60} )\\v=52800in/min[/tex]
Now to solve for angular speed ω by substituting the speed v and radius r in below equation
[tex]w=\frac{v}{r}\\ w=\frac{52800in/min}{14in}\\ w=3771.4rad/min[/tex]
To solve for N(revolutions per minute) by substituting the angular speed ω in the following equation
[tex]N=\frac{w}{2\pi }\\ N=\frac{3771.4rad/min}{2\pi }\\ N=5921RPM[/tex]
To find the angular speed of the wheels, convert the speed from miles per hour to inches per minute, and calculate using the formula Angular Speed = Linear Speed / Radius. The wheels make Revolutions per Minute which can be found by dividing the angular speed in radians per minute by 2π.
Explanation:To find the angular speed of the wheels in rad/min, we need to use the formula:
Angular Speed = Linear Speed / Radius
First, let's convert the speed from miles per hour to inches per minute. There are 5,280 feet in a mile and 12 inches in a foot. So, 50 miles/hour is equal to:
(50 miles/hour) x (5,280 feet/mile) x (12 inches/foot) x (1 hour/60 minutes)
Next, we need to convert the diameter of the wheel to the radius. Since the diameter is given in inches, the radius is half the diameter:
Radius = 28 in./2 = 14 in.
Using these values, we can calculate the angular speed:
Angular Speed = (Linear Speed / Radius)
To find the number of revolutions per minute (rpm) the wheels make, we need to divide the angular speed in radians per minute by 2π (the number of radians in a full revolution):
Revolutions per Minute = Angular Speed (in rad/min) / 2π
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The notes produced by a tuba range in frequency from approximately 45 Hz to 375 Hz. Find the possible range of wavelengths in air produced by the instrument when the speed of sound in air is 343 m/s.
Answer:
The possible range of wavelengths in air produced by the instrument is 7.62 m and 0.914 m respectively.
Explanation:
Given that,
The notes produced by a tuba range in frequency from approximately 45 Hz to 375 Hz.
The speed of sound in air is 343 m/s.
To find,
The wavelength range for the corresponding frequency.
Solution,
The speed of sound is given by the following relation as :
[tex]v=f_1\lambda_1[/tex]
Wavelength for f = 45 Hz is,
[tex]\lambda_1=\dfrac{v}{f_1}[/tex]
[tex]\lambda_1=\dfrac{343}{45}=7.62\ m[/tex]
Wavelength for f = 375 Hz is,
[tex]\lambda_2=\dfrac{v}{f_2}[/tex]
[tex]\lambda_2=\dfrac{343}{375}=0.914\ m/s[/tex]
So, the possible range of wavelengths in air produced by the instrument is 7.62 m and 0.914 m respectively.
Polychlorinated biphenyls (PCBs) have been banned because they are an environmental hazard. Which of the following was NOT a reason for banning them?
Answer:
PCBs have high electrical resistance and are excellent insulating materials.
Explanation:
Polychlorinated biphenyls [PCBs] are industrial chemical compounds made by man, which contains carbon, hydrogen and chlorine atoms. They can be used in the production of paints and dyes, heat transfer, etc.
There has been the ban on the use of these compounds because they are said to be very stable, and yield slowly to degradation by nature. They have low and not high electrical resistance.
At 25 °C, a bottle contains 2.00 L of water in its liquid state. What is the volume of the water after it freezes (at 0 °C)? The densities of liquid water and ice are 0.997 g/mL and 0.917 g/mL, respectively.
Answer:
2.175 LExplanation:
temperature (T) = 25 degrees
volume of water (v) = 2 L = 2000 mL
density of water = 0.997 g/mL
density of ice = 0.917 g/mL
we can get the mass of the water and the use it to get the volume when it freezes to ice, this is because the mass remains the same irrespective of the change of state.
mass of water = volume x density = 2000 x 0.997 = 1994 gvolume of ice = mass/density = 1994 / 0.917 = 2174.5 mL = 2.175 LAutomotive applications such as electronic control units mostly use semiconductors such as diodes, transistors, and power transistors. True or false?
Answer: the answer is true
Explanation:
electronic control units use semiconductors and also they widely use MOSFETS which are transistors as well.
It is true that automotive applications use semiconductors such as diodes, transistors, and power transistors. Semiconductors are the foundation of modern electronic devices and systems, including those in the automotive industry.
The statement is true. Automotive applications such as electronic control units indeed utilize semiconductors like diodes, transistors, and power transistors. Semiconductors are essential for modern electronics, as they can be combined into integrated circuits (ICs) on a single silicon chip, connecting millions of devices with conducting paths. Diodes, for example, only allow current to flow in one direction and are crafted from a p-n junction between a p-type and an n-type semiconductor.
Transistors are also semiconductor devices that have revolutionized modern technology, allowing for the miniaturization of electronic devices. They consist of three layers — the collector, base, and emitter — and can control large currents with small input signals. These components are integral to various electronic systems within vehicles for controlling functions and processing signals.